Stability of uncertain delay differential equations

被引:27
作者
Wang, Xiao [1 ]
Ning, Yufu [1 ]
机构
[1] Shandong Univ, Shandong Youth Univ Polit Sci, Key Lab Informat Secur & Intelligent Control, Sch Informat Engn, Jinan 250103, Peoples R China
关键词
Uncertain delay differential equation; stability; uncertainty theory; THEOREMS;
D O I
10.3233/JIFS-16639
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Uncertain delay differential equation is a type of differential equations driven by a canonical Liu process. This paper mainly focuses on the stability of uncertain delay differential equations. At first, the concept of stability in measure, stability in mean and stability in moment for uncertain delay differential equations will be presented. In addition, the sufficient condition for uncertain delay differential equations being stable in measure, in mean and in moment will be derived. Finally, this paper will discuss the relationship among stability in measure, stability in mean and stability in moment.
引用
收藏
页码:2655 / 2664
页数:10
相关论文
共 21 条
[1]  
[Anonymous], 2010, Surv Math Appl
[2]  
[Anonymous], 2008, UNCERTAINTY THEORY
[3]   Existence and uniqueness theorem for uncertain differential equations [J].
Chen, X. ;
Liu, B. .
FUZZY OPTIMIZATION AND DECISION MAKING, 2010, 9 (01) :69-81
[4]   Uncertain term structure model of interest rate [J].
Chen, Xiaowei ;
Gao, Jinwu .
SOFT COMPUTING, 2013, 17 (04) :597-604
[5]  
Ge XT, 2012, J Comput Inf Syst, V20, P8341
[6]  
Gronwall TH, 1918, ANN MATH, V20, P292
[7]  
Ito K, 1944, Proc. Impe. Acad., V20, P519, DOI [DOI 10.3792/PIA/1195572786, 10.3792/pia/1195572786]
[8]  
Liu B., 2009, J. Uncertain Syst., V3, P3
[9]  
Liu B., 2015, Uncertainty Theory
[10]   Almost sure stability for uncertain differential equation [J].
Liu, Hongjian ;
Ke, Hua ;
Fei, Weiyin .
FUZZY OPTIMIZATION AND DECISION MAKING, 2014, 13 (04) :463-473